Venters, 32, spent parts of three seasons with the Braves, going 15-10 with a 2.23 ERA and a 10.1 SO/9 IP ratio. He has not pitched in a Major League game since the 2012 National League Wild Card Game due to Tommy John surgeries in 2013 and '14.

In 2017, Venters had a 2.28 ERA in 24 games in Tampa Bay's organization, appearing with the Gulf Coast League Rays, Class A Charlotte, Double-A Montgomery and Triple-A Durham.

Given the way the Rays appear to be headed toward a revamped bullpen in 2018, a healthy Venters could fit in nicely. He made at least 65 appearances in the Majors in three straight seasons ('10-12) and was named to the NL All-Star team in '11.

Selected by Atlanta in the 30th round of the 2003 Draft, Venters originally signed with Tampa Bay as a Minor League free agent in March 2015.